Answer:
Center = (-3, 7)
radius = 5
Step-by-step explanation:
x² + y² + 6x – 14y + 33 = 0
Put the equation in standard form:
(x - h)² + (y - k)² = r²
(h, k) is the center
r is the radius
---------------------------
Regroup
x² + 6x + y² - 14y = -33
Complete the square for x
(x + 3)² + (y - 7)² = -33 + 3² + (-7)²
(x + 3)² + (y - 7)² = 25
Center = (h, k) = (-3, 7)
radius = √25 = 5
Answer:
cos(A) = 4/5
Step-by-step explanation:
3sinA+4cosA=5
Divide by 5 on both sides
(3/5)sinA+(4/5)cosA = 1 .................(1)
from which sin(A) = 3/5, cos(A) = 4/5 by inspection, since
(3/5)^2+(4/5)^2 = 1
For more details,
Let
cos(B) = (3/5), then
sin(B) = (4/5)
Substitute in (1)
cos(B)sin(A) + sin(B)cos(A) = 1 substitute trigonometric sum
sin(A+B) = 1 => A & B are complementary
cos(A) = sin(B) = 4/5
Answer:
So she will have a total of 339 apples
Step-by-step explanation:
Given:
Total bowls = 3
First bowl have = 75 apples
Second has 75 more then that
Third 36 less then second
To Find:
Total fruits = ?
Solution:
AS given First bowl have = 75 apples
Now according to conditions
Second bowl have = 75 + First bowl have
= 75 + 75
= 150 apples
Now
Third bowl have = Second bowl - 36
= 150 -36
= 114
Total Apples = First bowl apples + second bowl apple + third bowl apples
Putting in the values
Total apples = 150 + 75 + 114
= 339
So she will have a total of 339 apples
Answer:
Step-by-step explanation:
2 3/12 - 6 10/12 =
2 1/4 - 6 5/6 =
9/4 - 41/6 =
27/12 - 82/12 =
- 55/12 or - 4 7/12 <====
